Related InterviewSolutions

• Let `f(x)=f_(1)(x)-2f_(2)(x),` where `f_(1)(x)={{:(min{x^(2),|x|}",",|x|le1),(max{x^(2),|x|}",",|x|gt1):}` `"and "f_(2)(x)={{:(min {x^(2),|x|}",",|x|gt1),(max{x^(2),|x|}",",|x|le1):}` `"and let "g(x)={{:(min{f(t),-3letlex,-3lexlt0}),(max{f(t),0letltx,0lexle3}):}` The graph of `y=g(x)` in its domain is broken atA. 1 pointB. 2 pointsC. 3 pointsD. None of these
• Consider the function `f(x)=f(x)={{:(x-1",",-1lexle0),(x^(2)",", 0lexle1):}` and`" "g(x)=sinx.` If `h_(1)(x)=f(|g(x)|)` `" and "h_(2)(x)=|f(g(x))|.` Which of the following is not true about `h_(1)(x)`?A. It is a periodic function with period `pi`B. The range is [0, 1]C. Domain RD. None of these
• Consider the function `f(x)=f(x)={{:(x-1",",-1lexle0),(x^(2)",", 0lexle1):}` and`" "g(x)=sinx.` If `h_(1)(x)=f(|g(x)|)` `" and "h_(2)(x)=|f(g(x))|.` Which of the following is not true about `h_(2)(x)`?A. The domain is RB. It is periodic with period `2pi`C.D. The range is [0, 1]
• Let `f(x)=f_(1)(x)-2f_(2)(x),` where `f_(1)(x)={{:(min{x^(2),|x|}",",|x|le1),(max{x^(2),|x|}",",|x|gt1):}` `"and "f_(2)(x)={{:(min {x^(2),|x|}",",|x|gt1),(max{x^(2),|x|}",",|x|le1):}` `"and let "g(x)={{:(min{f(t),-3letlex,-3lexlt0}),(max{f(t),0letltx,0lexle3}):}` For `x in(-1,00),f(x)+g(x) `isA. `x^(2)-2x+1`B. `x^(2)+2x-1`C. `x^(2)+2x+1`D. `x^(2)-2x-1`
• Statement I The graph of `y=sec^(2)x` is symmetrical about the Y-axis. Statement II The graph of `y=tax` is symmetrical about the origin.A. Both Statement I and Statement II are correct and Statement II is the correct explanation of Statement IB. Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement IC. Statement I is correct but Statement II is incorrectD. Statement II is correct but Statement I is incorrect
• Statement I The equation `|(x-2)+a|=4` can have four distinct real solutions for x if a belongs to the interval `(-oo, 4)`. Statemment II The number of point of intersection of the curve represent the solution of the equation.A. Both Statement I and Statement II are correct and Statement II is the correct explanation of Statement IB. Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement IC. Statement I is correct but Statement II is incorrectD. Statement II is correct but Statement I is incorrect
• The number of real solutions of the equation `3^(-|x|)-2^(|x|)=0`, is
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